Percent to Fraction Notes
This Percent to Fraction Calculator helps you turn a percent into a fraction and shows the working clearly at every step. Percent means out of one hundred, so the number goes straight over 100. If it still has a decimal point, multiply the numerator and the denominator by 10 for each digit after it until the numerator is a whole number. Then check whether the answer can be written with smaller numbers. Following the same pattern every time is what makes converting percents easy to picture, check, and repeat on your own with any percent.
Step-by-step method
- Set up the problem.
- Percent means out of one hundred, so write the number over 100.
- If the numerator still has a decimal point, multiply the numerator and the denominator by 10 for each digit after it, until the numerator is a whole number.
- Simplify the answer at the end if you can. This step is Simplifying of Fractions.
See Example 1 Hide Example 1
Problem
Approach
Step-by-step method
- Set up the problem.
- Percent means out of one hundred, so write the number over 100.
- If the numerator still has a decimal point, multiply the numerator and the denominator by 10 for each digit after it, until the numerator is a whole number.
- Simplify the answer at the end if you can. This step is Simplifying of Fractions.
Step 1
Step 1 - Set up the problem.
In this problem: We start with \(75\%\).
Step 2
Step 2 - Percent means out of one hundred, so write the number over 100.
In this problem: \(75\%\) = \(\frac{75}{100}\).
Step 3
Step 3 - Make sure the fraction uses whole numbers.
In this problem: There are \(0\) digits after a decimal point, so the numerator is already a whole number and there is nothing to multiply by.
Step 4
Step 4 - Simplify the answer at the end if you can. This step is Simplifying of Fractions.
In this problem: The biggest number that divides both \(75\) and \(100\) is \(25\). Dividing each by it gives \(75\div 25 = 3\) and \(100\div 25 = 4\).
Problem
Approach
Step-by-step method
- Set up the problem.
- List the numbers that divide the numerator, and the numbers that divide the denominator. The biggest one on both lists is the one to use.
- Divide the numerator and the denominator by that number.
Step 1
Step 1 - Set up the problem.
In this problem: We are simplifying \(\frac{75}{100}\).
Step 2
Step 2 - List the numbers that divide the numerator, and the numbers that divide the denominator. The biggest one on both lists is the one to use.
In this problem: Listing what divides each one, both lists contain \(1, 5, 25\). The biggest of those is \(25\), so \(25\) is the number to divide by.
Step 3
Step 3 - Divide the numerator and the denominator by that number.
In this problem: Divide both by \(25\): \(75 \div 25 = 3\) and \(100 \div 25 = 4\).
Final Answer
Final Answer
See Example 2 Hide Example 2
Problem
Approach
Step-by-step method
- Set up the problem.
- Percent means out of one hundred, so write the number over 100.
- If the numerator still has a decimal point, multiply the numerator and the denominator by 10 for each digit after it, until the numerator is a whole number.
- Simplify the answer at the end if you can. This step is Simplifying of Fractions.
Step 1
Step 1 - Set up the problem.
In this problem: We start with \(12.5\%\).
Step 2
Step 2 - Percent means out of one hundred, so write the number over 100.
In this problem: \(12.5\%\) = \(\frac{12.5}{100}\).
Step 3
Step 3 - If the numerator still has a decimal point, multiply the numerator and the denominator by 10 for each digit after it, until the numerator is a whole number.
In this problem: The numerator still has a decimal point, so we multiply by \(\frac{10}{10}\), which is \(1\) and so does not change the value.
Step 4
Step 4 - Simplify the answer at the end if you can. This step is Simplifying of Fractions.
In this problem: The biggest number that divides both \(125\) and \(1000\) is \(125\). Dividing each by it gives \(125\div 125 = 1\) and \(1000\div 125 = 8\).
Problem
Approach
Step-by-step method
- Set up the problem.
- List the numbers that divide the numerator, and the numbers that divide the denominator. The biggest one on both lists is the one to use.
- Divide the numerator and the denominator by that number.
Step 1
Step 1 - Set up the problem.
In this problem: We are simplifying \(\frac{125}{1000}\).
Step 2
Step 2 - List the numbers that divide the numerator, and the numbers that divide the denominator. The biggest one on both lists is the one to use.
In this problem: Listing what divides each one, both lists contain \(1, 5, 25, 125\). The biggest of those is \(125\), so \(125\) is the number to divide by.
Step 3
Step 3 - Divide the numerator and the denominator by that number.
In this problem: Divide both by \(125\): \(125 \div 125 = 1\) and \(1000 \div 125 = 8\).
Final Answer
Final Answer
See Example 3 Hide Example 3
Problem
Approach
Step-by-step method
- Set up the problem.
- Percent means out of one hundred, so write the number over 100.
- If the numerator still has a decimal point, multiply the numerator and the denominator by 10 for each digit after it, until the numerator is a whole number.
- Simplify the answer at the end if you can. This step is Simplifying of Fractions.
Step 1
Step 1 - Set up the problem.
In this problem: We start with \(60\%\).
Step 2
Step 2 - Percent means out of one hundred, so write the number over 100.
In this problem: \(60\%\) = \(\frac{60}{100}\).
Step 3
Step 3 - Make sure the fraction uses whole numbers.
In this problem: There are \(0\) digits after a decimal point, so the numerator is already a whole number and there is nothing to multiply by.
Step 4
Step 4 - Simplify the answer at the end if you can. This step is Simplifying of Fractions.
In this problem: The biggest number that divides both \(60\) and \(100\) is \(20\). Dividing each by it gives \(60\div 20 = 3\) and \(100\div 20 = 5\).
Problem
Approach
Step-by-step method
- Set up the problem.
- List the numbers that divide the numerator, and the numbers that divide the denominator. The biggest one on both lists is the one to use.
- Divide the numerator and the denominator by that number.
Step 1
Step 1 - Set up the problem.
In this problem: We are simplifying \(\frac{60}{100}\).
Step 2
Step 2 - List the numbers that divide the numerator, and the numbers that divide the denominator. The biggest one on both lists is the one to use.
In this problem: Listing what divides each one, both lists contain \(1, 2, 4, 5, 10, 20\). The biggest of those is \(20\), so \(20\) is the number to divide by.
Step 3
Step 3 - Divide the numerator and the denominator by that number.
In this problem: Divide both by \(20\): \(60 \div 20 = 3\) and \(100 \div 20 = 5\).
Final Answer
Final Answer
See Example 4 Hide Example 4
Problem
Approach
Step-by-step method
- Set up the problem.
- Percent means out of one hundred, so write the number over 100.
- If the numerator still has a decimal point, multiply the numerator and the denominator by 10 for each digit after it, until the numerator is a whole number.
- Simplify the answer at the end if you can. This step is Simplifying of Fractions.
Step 1
Step 1 - Set up the problem.
In this problem: We start with \(37.5\%\).
Step 2
Step 2 - Percent means out of one hundred, so write the number over 100.
In this problem: \(37.5\%\) = \(\frac{37.5}{100}\).
Step 3
Step 3 - If the numerator still has a decimal point, multiply the numerator and the denominator by 10 for each digit after it, until the numerator is a whole number.
In this problem: The numerator still has a decimal point, so we multiply by \(\frac{10}{10}\), which is \(1\) and so does not change the value.
Step 4
Step 4 - Simplify the answer at the end if you can. This step is Simplifying of Fractions.
In this problem: The biggest number that divides both \(375\) and \(1000\) is \(125\). Dividing each by it gives \(375\div 125 = 3\) and \(1000\div 125 = 8\).
Problem
Approach
Step-by-step method
- Set up the problem.
- List the numbers that divide the numerator, and the numbers that divide the denominator. The biggest one on both lists is the one to use.
- Divide the numerator and the denominator by that number.
Step 1
Step 1 - Set up the problem.
In this problem: We are simplifying \(\frac{375}{1000}\).
Step 2
Step 2 - List the numbers that divide the numerator, and the numbers that divide the denominator. The biggest one on both lists is the one to use.
In this problem: Listing what divides each one, both lists contain \(1, 5, 25, 125\). The biggest of those is \(125\), so \(125\) is the number to divide by.
Step 3
Step 3 - Divide the numerator and the denominator by that number.
In this problem: Divide both by \(125\): \(375 \div 125 = 3\) and \(1000 \div 125 = 8\).
Final Answer
Final Answer